What is the Greatest Common Factor of 20275 and 20280?

Greatest common factor (GCF) of 20275 and 20280 is 5.

GCF(20275,20280) = 5

We will now calculate the prime factors of 20275 and 20280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20275 and 20280.

How to find the GCF of 20275 and 20280?

We will first find the prime factorization of 20275 and 20280. After we will calculate the factors of 20275 and 20280 and find the biggest common factor number .

Step-1: Prime Factorization of 20275

Prime factors of 20275 are 5, 811. Prime factorization of 20275 in exponential form is:

20275 = 5² × 811¹

Step-2: Prime Factorization of 20280

Prime factors of 20280 are 2, 3, 5, 13. Prime factorization of 20280 in exponential form is:

20280 = 2³ × 3¹ × 5¹ × 13²

Step-3: Factors of 20275

List of positive integer factors of 20275 that divides 20275 without a remainder.

1, 5, 25, 811, 4055

Step-4: Factors of 20280

List of positive integer factors of 20280 that divides 20275 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 169, 195, 260, 312, 338, 390, 507, 520, 676, 780, 845, 1014, 1352, 1560, 1690, 2028, 2535, 3380, 4056, 5070, 6760, 10140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20275 and 20280. The biggest common factor number is the GCF number.
So the greatest common factor 20275 and 20280 is 5.

Also check out the Least Common Multiple of 20275 and 20280